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Let x = number of years between 1990 and 2000.
Rainbow smelt:
Initial population = 227
Average yearly rate of change = -19.76
The linear function that models the population is
y₁ = 227 - 19.76x
Bloater fish
Initial population = 1052
Average yearly rate of change = -92.57
The linear function that models the population is
y₂ = 1052 - 92.57x
When the two populations are equal, then y₁ = y₂.
That is
227 - 19.76x = 1052 - 92.57x
(92.57 - 19.76)x = 1052 - 227
72.81x = 825
x = 11.33 years
= 11 years, 0.33*12 months
= 11 years, 4 months
Add x to 1990 to obtain the year April 2011.
Answer:
x = 11.33 years.
This occurs in April 2001.
Step-by-step explanation:
(x-2)^3 = x^3-6x^2+12x-8
-(x^3-6x^2+12x-8)=
-x^3+6x^2-12x+8
-x^3+6x^2-12x+8 -5=
y=-x^3+6x^2-12x+3
I attached the picture
The next number is 27.
You can find this by finding the common ratio between 3 and 9 and multiplying 9 by the common ratio. The common ratio is 3
